4sqrt(x/((x+1)))+3sqrt(((x+1))/x)=8

Lösung

4 \frac{x}{( x + 1 )} + 3 \frac{( x + 1 )}{x} = 8

x = \frac{1}{3}, x = - \frac{9}{5}

Dezimale

x = 0.33333 \dots, x = - 1.8

Schritte zur Lösung

4 \frac{x}{( x + 1 )} + 3 \frac{( x + 1 )}{x} = 8

Quadratwurzeln entfernen

\frac{- 847 x ^{4} + 1156 x ^{3} + 3654 x ^{2} + 1476 x + 81}{x ^{4} + 2 x ^{3} + x ^{2}} + 4096 = \frac{2304 ( x + 1 )}{x}

Löse

\frac{- 847 x ^{4} + 1156 x ^{3} + 3654 x ^{2} + 1476 x + 81}{x ^{4} + 2 x ^{3} + x ^{2}} + 4096 = \frac{2304 ( x + 1 )}{x} : x = \frac{1}{3}, x = - \frac{9}{5}, x = \frac{- 35 + 16 7}{63}, x = - \frac{35 + 16 7}{63}

x = \frac{1}{3}, x = - \frac{9}{5}, x = \frac{- 35 + 16 7}{63}, x = - \frac{35 + 16 7}{63}

Überprüfe die Lösungen:

x = \frac{1}{3}

Wahr

, x = - \frac{9}{5}

Wahr

, x = \frac{- 35 + 16 7}{63}

Falsch

, x = - \frac{35 + 16 7}{63}

Falsch

Die Lösungen sind

x = \frac{1}{3}, x = - \frac{9}{5}

\frac{x}{8} = \frac{x}{18}

64 (x) (64) = 32 \cdot 32

x^{2} + x + 1 = 1

m = \frac{m ^{0}}{1 - \frac{v ^{2}}{c ^{2}}}

x = \frac{2}{3}